Abstract
Our aim in this paper is to study in the first part the existence of mild solutions to the following partial fractional integro-differential equation with nonlocal conditions and in the second one we deal with extending the classical Kneser’s theorem and Aronszajn type result for this class of equations by showing that the set of all solutions is a compact and \(R_{\delta }\)-set.
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Acknowledgements
The author would like to express his warmest thanks to all members of ICDDEA19 International Conference on Differential, Difference Equations and Applications for his/her valuable comments, helps and suggestions.
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Benaouda, H. (2020). Structure of Solution Sets for Fractional Partial Integro-Differential Equations. In: Pinelas, S., Graef, J.R., Hilger, S., Kloeden, P., Schinas, C. (eds) Differential and Difference Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-56323-3_24
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DOI: https://doi.org/10.1007/978-3-030-56323-3_24
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